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Finding the Fourth Proportional to 201,530.40, 302,587.20 and 151,958.40

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Solution

The fourth proportional to 201,530.40, 302,587.20 and 151,958.40 is: 228,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,530.40 : 302,587.20 = 151,958.40 : x
  2. Step 2: Convert to fraction form
    201,530.40/302,587.20 = 151,958.40/x
  3. Step 3: Cross multiply
    201,530.40x = 302,587.20 × 151,958.40
  4. Step 4: Simplify right side
    201,530.40x = 45,980,666,772.48
  5. Step 5: Solve for x
    x = 45,980,666,772.48/201,530.40
  6. Step 6: Final answer
    x = 228,157.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.